Flory—Huggins theory Gibbs free energy

The state of miscibility of any mixture is governed by the Gibbs free energy of mixing, AG, which may be described by the lattice theory of Flory-Huggins (Flory, 1953), as follows ... 

According to the Flory-Huggins theory, the reduced total Gibbs free energy of mixing for a binary mixture is given by... 

The terms between the brackets correspond to the osmotic contribution to the Gibbs free energy (AG), and they also constitute the standard expression for AG of the Flory-Huggins theory of polymer solutions [61], where < p is the volume fraction of polymer and the ratio of the equivalent number of molecular segments of solvent to polymer (usually expressed as the ratio of molar volumes of solvent and polymer). Xap is the Flory-Huggins interaction parameter of solvent and polymer and the last term of Equation 14.1 is the interfacial free energy contribution where y is the interfacial tension, the molar volume of solvent, and r the particle radius. T is temperature in Kelvin and R is the universal gas constant. 

The Flory-Huggins theory aims at predicting the Gibbs free energy of mixing... 

The Gibbs free energy of mixing of polymer segments and solvent in a volume element <5 K according to the Flory-Huggins theory may be written as... 

The name of this model is an acronym of universal quasichemical, the name of the theory used to drive it. Like the Flory-Huggins model, UNIQUAC separates nonideal contributions to the excess Gibbs free energy into a combinatorial and a residual term ... 

For a binary polymer-solvent solution, the simplest expression for the Gibbs free energy of mixing is based on the Flory-Huggins Theory (Flory, 1942 Huggins, 1942),... 

SANS has been extensively applied for elucidating the thermodynamic interactions in blends containing NR. The starting point of almost all the works appearing in the literature is the Flory-Huggins theory, which states that the Gibbs free energy (AG) of binary blends of monodisperse polymers is " ... 

The dissolution of polymer blends is generally modelled by the Flory-Huggins solution theory and the Gibbs free energy between the two components can be calculated as AG = AT-TAS [9-11, 16, 21-23, 32-53, 55-75]. 

The theory yields the Gibbs free energy, G, and related quantities in terms of (i) the entropy of mixing and (ii) the enthalpy of mixing. The theory is formulated in terms of the volume fraction, tj), of monomers in the lattice (and 1 - solvent molecules in the lattice) and the Flory-Huggins f-parameter, which characterizes the energy of polymer-... 

Another model describing the thermodynamics of polymer solutions was introduced by Flory and Huggins [5,6]. In the Flory-Huggins theory, the non-ideality of the polymer solutions due to the large difference in molecular size between the solute and solvent is taken into account. Based on this theory, the Gibbs free energies of binary and ternary systems are expressed in Equations 15.7 and 15.8, respectively [7] as follows ... 

---